mathematics, the Jordan–Schur theorem also known as Jordan's theorem on finite linear groups is a theorem in its original form due to Camille Jordan. In that...
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number of results: The Jordan curve theorem, a topological result required in complex analysis The Jordan normal form and the Jordan matrix in linear algebra...
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characterizes primitive groups containing a large p-cycle; and The Jordan–Schur theorem is an effective proof (in terms of the degree) that linear torsion...
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(group theory) Jordan–Schur theorem (group theory) Jordan's theorem (multiply transitive groups) (group theory) Krull–Schmidt theorem (group theory) Kurosh...
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Schur's inequality Schur's theorem Schur-convex function Schur–Weyl duality Lehmer–Schur algorithm Schur's property for normed spaces. Jordan–Schur theorem...
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Schur. Frobenius–Schur indicator Herz–Schur multiplier Jordan–Schur theorem Lehmer–Schur algorithm Schur algebra Schur class Schur's conjecture Schur...
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case of the Jordan normal form. The Jordan normal form is named after Camille Jordan, who first stated the Jordan decomposition theorem in 1870. Some...
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invertible n × n complex matrices was finite; he used this theorem to prove the Jordan–Schur theorem. Nevertheless, the general answer to the Burnside problem...
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Leonhard Eulers. CMH Bd.20, 1947, S. 288-318. Hilbert–Speiser theorem Jordan–Schur theorem Without the efforts of Speiser and the Swiss mathematician Karl...
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element is the only element with finite order. Torsion (algebra) Jordan–Schur theorem E. S. Golod, On nil-algebras and finitely approximable p-groups,...
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In linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented...
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key ingredient in the proof of the Kazhdan–Margulis theorem. One can recover the Jordan–Schur theorem as a corollary to the existence of Zassenhaus neighbourhoods...
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type started with Camille Jordan's theorem that the projective special linear group PSL(2, q) is simple for q ≠ 2, 3. This theorem generalizes to projective...
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inner product structure, described in the article Schur orthogonality relations. Maschke's theorem was originally proved for the case of representations...
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In mathematics, Burnside's theorem in group theory states that if G is a finite group of order p a q b {\displaystyle p^{a}q^{b}} where p and q are prime...
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Reducing subspace Spectral theorem Singular value decomposition Higher-order singular value decomposition Schur decomposition Schur complement Haynsworth inertia...
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Lemma (mathematics) (section Comparison with theorem)
Greendlinger's lemma Itô's lemma Jordan's lemma Lovász local lemma Nakayama's lemma Poincaré's lemma Riesz's lemma Schur's lemma Schwarz's lemma Sperner's...
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In the mathematical field of group theory, Lagrange's theorem states that if H is a subgroup of any finite group G, then | H | {\displaystyle |H|} is...
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Matrix decomposition (section Schur decomposition)
the complex Schur form which has the eigenvalues of A along its diagonal. Comment: if A is a normal matrix, then T is diagonal and the Schur decomposition...
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In algebra, Weyl's theorem on complete reducibility is a fundamental result in the theory of Lie algebra representations (specifically in the representation...
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square matrix A {\displaystyle A} , regardless of diagonalizability, has a Schur decomposition given by A = Q U Q ∗ {\displaystyle A=QUQ^{*}} where U {\displaystyle...
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Presentation of a group Product of group subsets Schur multiplier Semidirect product Sylow theorems Hall subgroup Wreath product Butterfly lemma Center...
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numbers are the basic building blocks of the natural numbers. The Jordan–Hölder theorem is a more precise way of stating this fact about finite groups....
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Simple module (section The Jacobson density theorem)
Krull–Schmidt theorem holds and the category of finite length modules is a Krull-Schmidt category. The Jordan–Hölder theorem and the Schreier refinement theorem describe...
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this area since Sylow. This period saw Hans Zassenhaus's famous Schur-Zassenhaus theorem on the existence of complements to Hall's generalization of Sylow...
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Finite group (section Lagrange's theorem)
type started with Camille Jordan's theorem that the projective special linear group PSL(2, q) is simple for q ≠ 2, 3. This theorem generalizes to projective...
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Hadwiger–Finsler inequality Hinge theorem Hitchin–Thorpe inequality Isoperimetric inequality Jordan's inequality Jung's theorem Loewner's torus inequality Łojasiewicz...
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Partition regularity (redirect from Rado–Folkman–Sanders theorem)
2140/pjm.1971.36.285. Sanders, Jon Henry (1968). A Generalization of Schur's Theorem, Doctoral Dissertation (PhD). Yale University. Deuber, Walter (1973)...
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Blichfeldt's work in group theory includes an improved bound for the Jordan–Schur theorem, that finite linear groups have normal abelian subgroups of index...
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depth (algebra) Fitting lemma Schur's lemma Nakayama's lemma Krull–Schmidt theorem Steinitz exchange lemma Jordan–Hölder theorem Artin–Rees lemma Schanuel's...
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